{"id":"https://openalex.org/W7204836747","doi":"https://doi.org/10.3390/sym18091462","title":"Comment on Kisoglu, H.F. Non-Relativistic Closed-Form Energy Spectrum of a Hyperbolic Molecular Potential Through the Asymptotic Iteration Method. Symmetry 2026, 18, 586","display_name":"Comment on Kisoglu, H.F. Non-Relativistic Closed-Form Energy Spectrum of a Hyperbolic Molecular Potential Through the Asymptotic Iteration Method. Symmetry 2026, 18, 586","publication_year":2026,"publication_date":"2026-08-31","ids":{"openalex":"https://openalex.org/W7204836747","doi":"https://doi.org/10.3390/sym18091462"},"language":"en","primary_location":{"id":"doi:10.3390/sym18091462","doi":"https://doi.org/10.3390/sym18091462","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym18091462","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W7204836747"],"child_works_count":0,"type":"letter","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/sym18091462","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035364854","display_name":"H. F. Kisoglu","orcid":"https://orcid.org/0000-0002-9739-5947","observed_orcids":["https://orcid.org/0000-0002-9739-5947"]},"institutions":[{"id":"https://openalex.org/I51780484","display_name":"Mersin \u00dcniversitesi","ror":"https://ror.org/04nqdwb39","country_code":"TR","type":"education","lineage":["https://openalex.org/I51780484"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"H. Fatih Kisoglu","raw_affiliation_strings":["Department of Physics, Faculty of Science, Mersin University, 33343 Mersin, T\u00fcrkiye"],"raw_orcid":"https://orcid.org/0000-0002-9739-5947","affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, Mersin University, 33343 Mersin, T\u00fcrkiye","institution_ids":["https://openalex.org/I51780484"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035364854"],"corresponding_institution_ids":["https://openalex.org/I51780484"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2896},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2896},"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"9","first_page":"1462","last_page":"1462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.45649999380111694,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.45649999380111694,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.44290000200271606,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.019600000232458115,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/asymptotic-iteration-method","display_name":"asymptotic iteration method","score":0.9399999976158142},{"id":"https://openalex.org/keywords/energy-spectrum","display_name":"energy spectrum","score":0.8339999914169312},{"id":"https://openalex.org/keywords/odd-parity-states","display_name":"odd-parity states","score":0.9620000123977661},{"id":"https://openalex.org/keywords/boundary-conditions","display_name":"boundary conditions","score":0.9829999804496765}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6019999980926514},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5849999785423279},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5781000256538391},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.5741999745368958},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5273000001907349},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5098000168800354},{"id":"https://openalex.org/C2983197053","wikidata":"https://www.wikidata.org/wiki/Q654182","display_name":"Energy spectrum","level":2,"score":0.5078999996185303},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4912000000476837},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4453999996185303},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4097999930381775},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4059000015258789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.397599995136261},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.38269999623298645},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.37689998745918274},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.36169999837875366},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3612000048160553},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3409999907016754},{"id":"https://openalex.org/C84551667","wikidata":"https://www.wikidata.org/wiki/Q155640","display_name":"Potential energy","level":2,"score":0.33980000019073486},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3095000088214874},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2833999991416931},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.28110000491142273},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.272599995136261},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2685999870300293},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2533999979496002},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2533000111579895},{"id":"https://openalex.org/C2989164559","wikidata":"https://www.wikidata.org/wiki/Q15637420","display_name":"Low energy","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym18091462","doi":"https://doi.org/10.3390/sym18091462","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym18091462","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym18091462","doi":"https://doi.org/10.3390/sym18091462","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym18091462","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1968200644","https://openalex.org/W1997367430","https://openalex.org/W2168496234","https://openalex.org/W2593861864","https://openalex.org/W2594694313","https://openalex.org/W2803706773","https://openalex.org/W2963561142","https://openalex.org/W7143457926"],"related_works":["https://openalex.org/W7211998480","https://openalex.org/W7143457926","https://openalex.org/W4404655641","https://openalex.org/W2060829372","https://openalex.org/W7206201559","https://openalex.org/W2175572995","https://openalex.org/W2050933172","https://openalex.org/W7116828447","https://openalex.org/W2059641247","https://openalex.org/W7128295449"],"abstract_inverted_index":{"This":[0,90],"comment":[1,39,63],"provides":[2],"a":[3,16],"methodological":[4],"clarification":[5],"for":[6,113],"the":[7,11,30,41,50,55,66,73,78,84,88,96,99,108,114],"solution":[8,56],"space":[9,57],"of":[10,87,98,110],"quantum":[12],"mechanical":[13],"system":[14],"with":[15],"hyperbolic":[17],"potential,":[18],"which":[19],"has":[20],"been":[21],"previously":[22],"investigated":[23],"in":[24,37,49,77,102],"our":[25,103],"earlier":[26],"study":[27,52],"by":[28],"using":[29],"Asymptotic":[31],"Iteration":[32],"Method":[33],"(AIM).":[34],"We":[35],"clarify":[36],"this":[38,62],"that":[40,65],"wavefunction":[42],"structure":[43],"(ansatz)":[44],"and":[45],"boundary":[46],"condition":[47],"used":[48],"original":[51,79],"inherently":[53],"restrict":[54],"to":[58],"odd-parity":[59,85],"states.":[60],"Therefore,":[61],"clarifies":[64],"closed-form":[67],"analytical":[68],"energy":[69,75],"eigenvalues,":[70],"obtained":[71,101],"as":[72],"\u201ccomplete":[74],"spectrum\u201d":[76],"study,":[80],"actually":[81],"represent":[82],"only":[83],"states":[86],"system.":[89],"structural":[91],"feature":[92],"does":[93],"not":[94],"affect":[95],"accuracy":[97],"results":[100],"study;":[104],"it":[105],"mathematically":[106],"defines":[107],"limits":[109],"algebraic":[111],"validity":[112],"reader.":[115]},"counts_by_year":[],"updated_date":"2026-09-01T08:31:24.195828","created_date":"2026-09-01T00:00:00"}
